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Proof step 14 from proof okarray-put-other (previous step)

st[r -- _length] = intval(i), 0 ≤ i, r ∈ st, is_arrayref(r, i, st), r -- _length ∈ st, st[r -- _type] .type .type ≤ ty, is_arraytype(st[r -- _type] .type), is_typevalue(st[r -- _type]), r -- _type ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, r = r1, is_referencevalue(refval(r)) ∧ ( refval(r) .refval ≠ jvmref → refval(r) .refval -- _type ∈ st ∧ is_typevalue(st[refval(r) .refval -- _type]) ∧ st[refval(r) .refval -- _type] .type ≤ mkarraytype(ty)) ∧ (0 ≤ j ∧ j < i → okval(st[r -- j '], ty))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
st[r -- _length] = intval(i), 0 ≤ i, r ∈ st, is_arrayref(r, i, st), r -- _length ∈ st, st[r -- _type] .type .type ≤ ty, is_arraytype(st[r -- _type] .type), is_typevalue(st[r -- _type]), r -- _type ∈ st, j < i, 0 ≤ j, 0 < i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, r = r1, okval(st[r -- j '], ty)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ ty0 ≤ mkarraytype(ty) ↔ is_arraytype(ty0) ∧ ty0 .type ≤ ty], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]